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Finding the Fourth Proportional to 12,152.49, 16,770.36 and 6,849.01

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Solution

The fourth proportional to 12,152.49, 16,770.36 and 6,849.01 is: 9,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.49 : 16,770.36 = 6,849.01 : x
  2. Step 2: Convert to fraction form
    12,152.49/16,770.36 = 6,849.01/x
  3. Step 3: Cross multiply
    12,152.49x = 16,770.36 × 6,849.01
  4. Step 4: Simplify right side
    12,152.49x = 114,860,363.34
  5. Step 5: Solve for x
    x = 114,860,363.34/12,152.49
  6. Step 6: Final answer
    x = 9,451.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.